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2 | SIR C R REDDY (A) COLLEGE, ELURU | |||||||||||||||||||||||||
3 | Curricular Plan for the Academic Year :: 2020-21 | |||||||||||||||||||||||||
4 | Name of the Faculty Member | CH.J.N.PAVAN KUMAR | Name of the Department | PG Dept of Physics | ||||||||||||||||||||||
5 | ||||||||||||||||||||||||||
6 | Program | M.Sc Physics | Group: | |||||||||||||||||||||||
7 | Title of the Course | CLASSICAL MECHANICS | Course Code: | PHY:101 | ||||||||||||||||||||||
8 | Year | I | Semester | I | Hrs allotted: | 60 | ||||||||||||||||||||
9 | Section | Hours/Week | 6 | |||||||||||||||||||||||
10 | ||||||||||||||||||||||||||
11 | Unit No. & Name | Hour | Day | Date | Topic to be Covered | Methodology | Remarks | |||||||||||||||||||
12 | Adopted | |||||||||||||||||||||||||
13 | UNIT-I | 1 | Tue | 2/9/2021 | Constraints and types of constraints with examples | Lecture Method | ||||||||||||||||||||
14 | 2 | Wed | 2/10/2021 | Generalized coordinates . Principle of virtual work | Lecture Method | |||||||||||||||||||||
15 | 3 | Thu | 2/11/2021 | De Alembert’s principle and Lagrange‘s equations. | Lecture Method | |||||||||||||||||||||
16 | 4 | Fri | 2/12/2021 | Lagrangian equation from D-Alembert’s principle | Lecture Method | |||||||||||||||||||||
17 | 5 | Mon | 2/15/2021 | Velocity Dependent potentials and the Rayleigh’s Dissipation function | Lecture Method | |||||||||||||||||||||
18 | 6 | Tue | 2/16/2021 | Lagrangian for a charged particle moving in an EM field | Lecture Method | |||||||||||||||||||||
19 | 7 | Wed | 2/17/2021 | Simple applications of the Lagrangian Formulation | Lecture Method | |||||||||||||||||||||
20 | 8 | Thu | 2/18/2021 | Hamilton‘s principle. Some techniques of the calculus of variations | Lecture Method | |||||||||||||||||||||
21 | 9 | Fri | 2/19/2021 | Derivation of Lagrange‘s equations from Hamilton‘s principle. | Lecture Method | |||||||||||||||||||||
22 | 10 | Sat | 2/20/2021 | linear momentum, angular momentum and energy | Lecture Method | |||||||||||||||||||||
23 | 11 | Mon | 2/22/2021 | Energy function and the conservation of Energy | Lecture Method | |||||||||||||||||||||
24 | UNIT-II | 12 | Tue | 2/23/2021 | Reduction to the equivalent one body problem | Lecture Method | ||||||||||||||||||||
25 | 13 | Wed | 2/24/2021 | The equation of motion and first Integrals | Lecture Method | |||||||||||||||||||||
26 | 14 | Thu | 2/25/2021 | One – Dimensional problem and classification of orbits | Lecture Method | |||||||||||||||||||||
27 | 15 | Fri | 2/26/2021 | The differential equation for the orbit | Lecture Method | |||||||||||||||||||||
28 | 16 | Sat | 2/27/2021 | Conditions for closed orbits (Bertrand‘s theorem | Lecture Method | |||||||||||||||||||||
29 | 17 | Mon | 3/1/2021 | The Kepler problem inverse square law of force | Lecture Method | |||||||||||||||||||||
30 | 18 | Tue | 3/2/2021 | The motion in time in the Kepler problem | Lecture Method | |||||||||||||||||||||
31 | 19 | Wed | 3/3/2021 | Scattering in a central force field | Lecture Method | |||||||||||||||||||||
32 | 20 | Thu | 3/4/2021 | Legendre transformations | Lecture Method | |||||||||||||||||||||
33 | 21 | Fri | 3/5/2021 | Hamilton‘s canonical equations of motion | Lecture Method | |||||||||||||||||||||
34 | 22 | Sat | 3/6/2021 | Physical significance of the Hamiltonian | Lecture Method | |||||||||||||||||||||
35 | 23 | Mon | 3/8/2021 | Cyclic coordinates and conservation theorems | Lecture Method | |||||||||||||||||||||
36 | 24 | Tue | 3/9/2021 | Derivation of Hamilton‘s canonical equations of motion from a variational principle | Lecture Method | |||||||||||||||||||||
37 | 25 | Wed | 3/10/2021 | Principle of Least action | Lecture Method | |||||||||||||||||||||
38 | UNIT-III: | 26 | Fri | 3/12/2021 | Equations of Canonical transformations | Lecture Method | ||||||||||||||||||||
39 | 27 | Mon | 3/15/2021 | Generating functions | Lecture Method | |||||||||||||||||||||
40 | 28 | Tue | 3/16/2021 | The harmonic Oscillator as an example of Canonical transformation | Lecture Method | |||||||||||||||||||||
41 | 29 | Wed | 3/17/2021 | Poisson brackets. Equations of motion in Poisson bracket form | Lecture Method | |||||||||||||||||||||
42 | 30 | Thu | 3/18/2021 | Infinitesimal canonical transformations. | Lecture Method | |||||||||||||||||||||
43 | 31 | Fri | 3/19/2021 | Properties of Poisson brackets. | Lecture Method | |||||||||||||||||||||
44 | 32 | Sat | 3/20/2021 | Jacobi Identity | Lecture Method | |||||||||||||||||||||
45 | 33 | Mon | 3/22/2021 | Invariance of Poisson Bracket with respect to canonical transformations. | Lecture Method | |||||||||||||||||||||
46 | 34 | Tue | 3/23/2021 | The angular momentum Poisson bracket relations . | Lecture Method | |||||||||||||||||||||
47 | 35 | Wed | 3/24/2021 | Hamilton – Jacobi equation for Hamilton‘s principal function | Lecture Method | |||||||||||||||||||||
48 | 36 | Thu | 3/25/2021 | The Harmonic oscillator problem as an example of the Hamilton – Jacobi Method. | Lecture Method | |||||||||||||||||||||
49 | 37 | Fri | 3/26/2021 | Hamilton –Jacobi equation for Hamilton‘s characteristic function | Lecture Method | |||||||||||||||||||||
50 | 38 | Sat | 3/27/2021 | Action – angle variables in system of one degree of freedom | Lecture Method | |||||||||||||||||||||
51 | UNIT-IV | 39 | Mon | 3/29/2021 | Independent coordinates of a rigid body | Lecture Method | ||||||||||||||||||||
52 | 40 | Tue | 3/30/2021 | Independent coordinates of a rigid body | Lecture Method | |||||||||||||||||||||
53 | 41 | Wed | 3/31/2021 | The Euler angles | Lecture Method | |||||||||||||||||||||
54 | 42 | Thu | 4/1/2021 | The Euler angles | Lecture Method | |||||||||||||||||||||
55 | 43 | Sat | 4/3/2021 | The Euler angles | Lecture Method | |||||||||||||||||||||
56 | 44 | Mon | 4/5/2021 | Euler’s theorem on the Motion of a rigid body | Lecture Method | |||||||||||||||||||||
57 | 45 | Tue | 4/6/2021 | Euler’s theorem on the Motion of a rigid body | Lecture Method | |||||||||||||||||||||
58 | 46 | Wed | 4/7/2021 | Euler’s theorem on the Motion of a rigid body | Lecture Method | |||||||||||||||||||||
59 | 47 | Thu | 4/8/2021 | Infinitesimal rotations | Lecture Method | |||||||||||||||||||||
60 | 48 | Fri | 4/9/2021 | Infinitesimal rotations | Lecture Method | |||||||||||||||||||||
61 | 49 | Mon | 4/12/2021 | Infinitesimal rotations | Lecture Method | |||||||||||||||||||||
62 | 50 | Thu | 4/15/2021 | Rate of change of a vector | Lecture Method | |||||||||||||||||||||
63 | 51 | Fri | 4/16/2021 | Rate of change of a vector | Lecture Method | |||||||||||||||||||||
64 | 52 | Sat | 4/17/2021 | Rate of change of a vector | Lecture Method | |||||||||||||||||||||
65 | 53 | Mon | 4/19/2021 | The Coriolis Effect | Lecture Method | |||||||||||||||||||||
66 | 54 | Tue | 4/20/2021 | The Coriolis Effect | Lecture Method | |||||||||||||||||||||
67 | 55 | Thu | 4/22/2021 | The Coriolis Effect | Lecture Method | |||||||||||||||||||||
68 | 56 | Fri | 4/23/2021 | Methods of solving rigid body problems and Euler equations of motion | Lecture Method | |||||||||||||||||||||
69 | 57 | Sat | 4/24/2021 | Methods of solving rigid body problems and Euler equations of motion | Lecture Method | |||||||||||||||||||||
70 | 58 | Mon | 4/26/2021 | Methods of solving rigid body problems and Euler equations of motion | Lecture Method | |||||||||||||||||||||
71 | 59 | Tue | 4/27/2021 | Torque – free motion of a rigid body | Lecture Method | |||||||||||||||||||||
72 | 60 | Wed | 4/28/2021 | Torque – free motion of a rigid body | Lecture Method | |||||||||||||||||||||
73 | 61 | Thu | 4/29/2021 | Precession of charged bodies in a magnetic field. | Lecture Method | |||||||||||||||||||||
74 | 62 | Fri | 4/30/2021 | Precession of charged bodies in a magnetic field. | Lecture Method | |||||||||||||||||||||
75 | 63 | Sat | 5/1/2021 | Applications | Lecture Method | |||||||||||||||||||||
76 | 64 | Mon | 5/3/2021 | Applications | Lecture Method | |||||||||||||||||||||
77 | 65 | Tue | 5/4/2021 | Theory of small oscillations | Lecture Method | |||||||||||||||||||||
78 | 66 | Wed | 5/5/2021 | Theory of small oscillations | Lecture Method | |||||||||||||||||||||
79 | 67 | Thu | 5/6/2021 | Theory of small oscillations | Lecture Method | |||||||||||||||||||||
80 | 68 | Fri | 5/7/2021 | Potential energy and equilibrium | Lecture Method | |||||||||||||||||||||
81 | 69 | Mon | 5/24/2021 | Potential energy and equilibrium | Lecture Method | |||||||||||||||||||||
82 | 70 | Tue | 5/25/2021 | stable equilibrium | Lecture Method | |||||||||||||||||||||
83 | 71 | Wed | 5/26/2021 | unstable equilibrium | Lecture Method | |||||||||||||||||||||
84 | 72 | Thu | 5/27/2021 | unstable equilibrium | Lecture Method | |||||||||||||||||||||
85 | 73 | Fri | 5/28/2021 | neutral equilibrium | Lecture Method | |||||||||||||||||||||
86 | 74 | Sat | 5/29/2021 | neutral equilibrium | Lecture Method | |||||||||||||||||||||
87 | 75 | Mon | 5/31/2021 | Secular equation | Lecture Method | |||||||||||||||||||||
88 | 76 | Tue | 6/1/2021 | Secular equation | Lecture Method | |||||||||||||||||||||
89 | 77 | Wed | 6/2/2021 | Secular equation | Lecture Method | |||||||||||||||||||||
90 | 78 | Thu | 6/3/2021 | Frequencies of free vibration | Lecture Method | |||||||||||||||||||||
91 | 79 | Fri | 6/4/2021 | Frequencies of free vibration | Lecture Method | |||||||||||||||||||||
92 | 80 | Sat | 6/5/2021 | Frequencies of free vibration | Lecture Method | |||||||||||||||||||||
93 | 81 | Mon | 6/7/2021 | Eigen value equation | Lecture Method | |||||||||||||||||||||
94 | 82 | Tue | 6/8/2021 | Eigen value equation | Lecture Method | |||||||||||||||||||||
95 | 83 | Wed | 6/9/2021 | normal co-ordinates | Lecture Method | |||||||||||||||||||||
96 | 84 | Thu | 6/10/2021 | normal co-ordinates | Lecture Method | |||||||||||||||||||||
97 | 85 | Fri | 6/11/2021 | normal frequencies | Lecture Method | |||||||||||||||||||||
98 | 86 | Mon | 6/14/2021 | normal frequencies | Lecture Method | |||||||||||||||||||||
99 | 87 | Tue | 6/15/2021 | Free vibrations of linear triatomic molecule | Lecture Method | |||||||||||||||||||||
100 | 88 | Wed | 6/16/2021 | Free vibrations of linear triatomic molecule | Lecture Method | |||||||||||||||||||||